Blow-up of solutions with high energies of a coupled system of hyperbolic equations
From MaRDI portal
Publication:2319379
DOI10.1155/2019/7405725zbMath1474.35460OpenAlexW2948788598MaRDI QIDQ2319379
Publication date: 16 August 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/7405725
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up of positive-energy solutions of a dissipative system in classical field theory
- Global solution for coupled nonlinear Klein-Gordon system
- Global existence, asymptotic behavior and blow-up of solutions for coupled Klein-Gordon equations with damping terms
- Minimax theorems
- Global existence, blow-up and asymptotic behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with damping terms
- Global nonexistence of solutions for systems of quasilinear hyperbolic equations with damping and source terms
- Nonexistence of global solutions of abstract wave equations with high energies
- On Boussinesq's paradigm in nonlinear wave propagation
- Non-existence of global solutions of a class of coupled non-linear Klein-Gordon equations with non-negative potentials and arbitrary initial energy